Petr Tomášek
abstract:
The paper discusses the asymptotic stability regions of multistep discretization
of linear delay differential equation with a constant delay. Different location
of delay dependent parts of stability regions with respect to parity of number
of steps clarifies unexpected changes in numerical solution's behaviour under
various settings of the equation's parameters and stepsize.
Mathematics Subject Classification: 34K28, 34K20
Key words and phrases: Delay differential equation, constant delay, difference equation, numerical solution, necessary and sufficient conditions for asymptotic stability